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Finding the Fourth Proportional to 564,082.79, 846,041.09 and 185,043.58

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Solution

The fourth proportional to 564,082.79, 846,041.09 and 185,043.58 is: 277,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,082.79 : 846,041.09 = 185,043.58 : x
  2. Step 2: Convert to fraction form
    564,082.79/846,041.09 = 185,043.58/x
  3. Step 3: Cross multiply
    564,082.79x = 846,041.09 × 185,043.58
  4. Step 4: Simplify right side
    564,082.79x = 156,554,470,468.21
  5. Step 5: Solve for x
    x = 156,554,470,468.21/564,082.79
  6. Step 6: Final answer
    x = 277,538.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.